DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Electron energy can oscillate near a crystal dislocation

Abstract

Crystal dislocations govern the plastic mechanical properties of materials but also affect the electrical and optical properties. However, a fundamental and quantitative quantum field theory of a dislocation has remained undiscovered for decades. Here in this article we present an exactly-solvable one-dimensional quantum field theory of a dislocation, for both edge and screw dislocations in an isotropic medium, by introducing a new quasiparticle which we have called the ‘dislon’. The electron-dislocation relaxation time can then be studied directly from the electron self-energy calculation, which is reducible to classical results. In addition, we predict that the electron energy will experience an oscillation pattern near a dislocation. Compared with the electron density’s Friedel oscillation, such an oscillation is intrinsically different since it exists even with only single electron is present. With our approach, the effect of dislocations on materials’ non-mechanical properties can be studied at a full quantum field theoretical level.

Authors:
; ; ;
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Defense Advanced Research Projects Agency (DARPA)
OSTI Identifier:
1341259
Alternate Identifier(s):
OSTI ID: 1341260; OSTI ID: 1366537
Grant/Contract Number:  
SC0001299; FG02-09ER46577
Resource Type:
Published Article
Journal Name:
New Journal of Physics
Additional Journal Information:
Journal Name: New Journal of Physics Journal Volume: 19 Journal Issue: 1; Journal ID: ISSN 1367-2630
Publisher:
IOP Publishing
Country of Publication:
United Kingdom
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quantum field theory; crystal dislocation; Friedel oscillation; disordered system

Citation Formats

Li, Mingda, Cui, Wenping, Dresselhaus, Mildred S., and Chen, Gang. Electron energy can oscillate near a crystal dislocation. United Kingdom: N. p., 2017. Web. doi:10.1088/1367-2630/aa5710.
Li, Mingda, Cui, Wenping, Dresselhaus, Mildred S., & Chen, Gang. Electron energy can oscillate near a crystal dislocation. United Kingdom. https://doi.org/10.1088/1367-2630/aa5710
Li, Mingda, Cui, Wenping, Dresselhaus, Mildred S., and Chen, Gang. Sun . "Electron energy can oscillate near a crystal dislocation". United Kingdom. https://doi.org/10.1088/1367-2630/aa5710.
@article{osti_1341259,
title = {Electron energy can oscillate near a crystal dislocation},
author = {Li, Mingda and Cui, Wenping and Dresselhaus, Mildred S. and Chen, Gang},
abstractNote = {Crystal dislocations govern the plastic mechanical properties of materials but also affect the electrical and optical properties. However, a fundamental and quantitative quantum field theory of a dislocation has remained undiscovered for decades. Here in this article we present an exactly-solvable one-dimensional quantum field theory of a dislocation, for both edge and screw dislocations in an isotropic medium, by introducing a new quasiparticle which we have called the ‘dislon’. The electron-dislocation relaxation time can then be studied directly from the electron self-energy calculation, which is reducible to classical results. In addition, we predict that the electron energy will experience an oscillation pattern near a dislocation. Compared with the electron density’s Friedel oscillation, such an oscillation is intrinsically different since it exists even with only single electron is present. With our approach, the effect of dislocations on materials’ non-mechanical properties can be studied at a full quantum field theoretical level.},
doi = {10.1088/1367-2630/aa5710},
journal = {New Journal of Physics},
number = 1,
volume = 19,
place = {United Kingdom},
year = {Sun Jan 01 00:00:00 EST 2017},
month = {Sun Jan 01 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1088/1367-2630/aa5710

Figures / Tables:

Figure 1 Figure 1: (a)The equivalent definitions of a generic dislocation D, which is denoted as a loop. A dislocation line can be regarded a special case of the dislocation loop. On one hand, a dislocation line D can be defined as $∮_L$ du = -b, where L is the loop enclosingmore » the dislocation line D. On the other hand, an equivalent definition is based on an arbitrary surface S (blue) with line D as its boundary. A dislocation can be defined as an overall shift of surface S by a constant amount of the Burgers vector b (blue surface is shifted to the yellow one). ς is the coordinate perpendicular to the surface S, and is convenient for defining the strain tensor uij . (b) A long dislocation line along z-direction vibrating within slip plane (xz) with Q(z) the transverse displacement. Such vibration shares similarities with a phonon as it is also a quantized lattice displacement, but is constrained by $∮_L$ du = -b where L is an arbitrary loop circling dislocation. An electron located at position r will be scattered by dislocations. (c)Quantized vibrational excitation dispersion relations along dislocation line (‘dislon’) for both edge (hot-colors) and screw (cool-colors) dislocations at various Poisson ratios ν. The classical shear wave is shown as a linear-dispersive black-dotted line. The classical shear wave is shown as a linear-dispersive black-dotted line, and the arrows indicate a decreasing trend of Poisson ratio for edge (red arrow) and screw (blue arrow) dislons, respectively.« less

Save / Share:

Works referenced in this record:

Extended Defects in Germanium
book, January 2009


A-geometrical approach to topological insulators with edge dislocations
journal, June 2012


Dislocation scattering in a two-dimensional electron gas
journal, March 2000

  • Jena, Debdeep; Gossard, Arthur C.; Mishra, Umesh K.
  • Applied Physics Letters, Vol. 76, Issue 13
  • DOI: 10.1063/1.126143

Theory of Mechanical Damping Due to Dislocations
journal, June 1956

  • Granato, A.; Lücke, K.
  • Journal of Applied Physics, Vol. 27, Issue 6
  • DOI: 10.1063/1.1722436

Einstein–Cartan theory as a theory of defects in space–time
journal, December 2003

  • Ruggiero, M. L.; Tartaglia, A.
  • American Journal of Physics, Vol. 71, Issue 12
  • DOI: 10.1119/1.1596176

Effects of Dislocations on Mobilities in Semiconductors
journal, June 1952


Generalized Continua and Dislocation Theory
book, January 2012


Quantum Density Oscillations in an Inhomogeneous Electron Gas
journal, March 1965


�ber eine Art Gitterst�rung, die einen Kristall plastisch machen k�nnte
journal, September 1934


The Mechanism of Plastic Deformation of Crystals. Part I. Theoretical
journal, July 1934

  • Taylor, G. I.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 145, Issue 855
  • DOI: 10.1098/rspa.1934.0106

Zur Kristallplastizit�t. III: �ber den Mechanismus des Gleitvorganges
journal, September 1934


Density functional theory studies of screw dislocation core structures in bcc metals
journal, January 2003


Quantum effect on thermally activated glide of dislocations
journal, August 2012

  • Proville, Laurent; Rodney, David; Marinica, Mihai-Cosmin
  • Nature Materials, Vol. 11, Issue 10
  • DOI: 10.1038/nmat3401

XIV. The distribution of electrons round impurities in monovalent metals
journal, February 1952

  • Friedel, J.
  • The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 43, Issue 337
  • DOI: 10.1080/14786440208561086

Dislocation Scattering in GaN
journal, February 1999


Effect of Plastic Deformation and Annealing Temperature on Superconducting Properties
journal, January 1962


Polymorphism of dislocation core structures at the atomic scale
journal, January 2014

  • Wang, Zhongchang; Saito, Mitsuhiro; McKenna, Keith P.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4239

The role of dislocation scattering in n -type GaN films
journal, August 1998

  • Ng, H. M.; Doppalapudi, D.; Moustakas, T. D.
  • Applied Physics Letters, Vol. 73, Issue 6
  • DOI: 10.1063/1.122012

Sur l'équilibre des corps élastiques multiplement connexes
journal, January 1907

  • Volterra, Vito
  • Annales scientifiques de l'École normale supérieure, Vol. 24
  • DOI: 10.24033/asens.583

Many-Particle Physics
book, January 2000


Scattering of electrons at threading dislocations in GaN
journal, April 1998

  • Weimann, Nils G.; Eastman, Lester F.; Doppalapudi, Dharanipal
  • Journal of Applied Physics, Vol. 83, Issue 7
  • DOI: 10.1063/1.366585

Dislocation Vibration and Phonon Scattering
journal, September 1968

  • Ninomiya, Toshiyuki
  • Journal of the Physical Society of Japan, Vol. 25, Issue 3
  • DOI: 10.1143/JPSJ.25.830

Interaction between thermal phonons and dislocations in LiF
journal, July 1979


Riemann–Cartan Geometry of Nonlinear Dislocation Mechanics
journal, March 2012

  • Yavari, Arash; Goriely, Alain
  • Archive for Rational Mechanics and Analysis, Vol. 205, Issue 1
  • DOI: 10.1007/s00205-012-0500-0

Effect of Dislocations on the Thermal Conductivity of LiF
journal, January 1972

  • Suzuki, Takayoshi; Suzuki, Hideji
  • Journal of the Physical Society of Japan, Vol. 32, Issue 1
  • DOI: 10.1143/JPSJ.32.164

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.